theorem :: GLIB_006:127

for G3 being _Graph
for v1 being Vertex of G3
for e, v2 being object
for G2 being addVertex of G3,v2
for G1 being addEdge of G2,v1,e,v2 st not e in the_Edges_of G3 & not v2 in the_Vertices_of G3 holds
G1 is addAdjVertex of G3,v1,e,v2